# Download Recall Worksheet R 6.3 Using a rule to fill a table A rule allows us to

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```Recall Worksheet R 6.3
Using a rule to fill a table
A rule allows us to work out any numbers belonging to a certain number pattern.
y = x + 10 and y = x – 6 are rules. We can find the value of y by substituting any number for x.
x
y
0
1
2
3
4
A table of values is used to summarise the numbers that
satisfy the rule. The x values are usually given, however, if
they are not given we usually use the numbers 0, 1, 2, 3.
W orked Example
Use the rule y = x + 10 to complete the table
x
y
0
1
2
3
4
Thinking
Working
1
Substitute the first x value in the table into the
given rule.
y = x + 10, x = 0
y = 0 + 10
y = 10
2
Follow the same process for the other x values
given in the table.
1
Using the given rule, complete the table of values.
(a)
x
y
0
10
1
11
2
12
3
13
4
14
y=x+4
x
0
1
2
3
4
5
10
15
20
25
-2
-1
0
1
2
y
(b) y = x – 2
x
y
(c)
y = 10x
x
y
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4576 2
1
(d)
y=
x
2
x

2
4
6
8
10
y
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4576 2
2
```
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